Invariants
| Level: | $12$ | $\SL_2$-level: | $12$ | Newform level: | $72$ | ||
| Index: | $36$ | $\PSL_2$-index: | $36$ | ||||
| Genus: | $1 = 1 + \frac{ 36 }{12} - \frac{ 6 }{4} - \frac{ 0 }{3} - \frac{ 3 }{2}$ | ||||||
| Cusps: | $3$ (of which $1$ is rational) | Cusp widths | $12^{3}$ | Cusp orbits | $1\cdot2$ | ||
| Elliptic points: | $6$ of order $2$ and $0$ of order $3$ | ||||||
| Analytic rank: | $0$ | ||||||
| $\Q$-gonality: | $2$ | ||||||
| $\overline{\Q}$-gonality: | $2$ | ||||||
| Rational cusps: | $1$ | ||||||
| Rational CM points: | yes $\quad(D =$ $-4,-7$) |
Other labels
| Cummins and Pauli (CP) label: | 12M1 |
| Rouse, Sutherland, and Zureick-Brown (RSZB) label: | 12.36.1.54 |
Level structure
| $\GL_2(\Z/12\Z)$-generators: | $\begin{bmatrix}5&9\\6&11\end{bmatrix}$, $\begin{bmatrix}7&2\\2&5\end{bmatrix}$, $\begin{bmatrix}7&4\\2&1\end{bmatrix}$, $\begin{bmatrix}7&6\\6&5\end{bmatrix}$ |
| $\GL_2(\Z/12\Z)$-subgroup: | $D_4\times \SD_{16}$ |
| Contains $-I$: | yes |
| Quadratic refinements: | none in database |
| Cyclic 12-isogeny field degree: | $8$ |
| Cyclic 12-torsion field degree: | $32$ |
| Full 12-torsion field degree: | $128$ |
Jacobian
| Conductor: | $2^{3}\cdot3^{2}$ |
| Simple: | yes |
| Squarefree: | yes |
| Decomposition: | $1$ |
| Newforms: | 72.2.a.a |
Models
Weierstrass model Weierstrass model
| $ y^{2} $ | $=$ | $ x^{3} + 6x - 7 $ |
Rational points
This modular curve has 1 rational cusp and 2 rational CM points, but no other known rational points. The following are the known rational points on this modular curve (one row per $j$-invariant).
| Elliptic curve | CM | $j$-invariant | $j$-height | Weierstrass model | |
|---|---|---|---|---|---|
| no | $\infty$ | $0.000$ | $(0:1:0)$ | ||
| 32.a3 | $-4$ | $1728$ | $= 2^{6} \cdot 3^{3}$ | $7.455$ | $(1:0:1)$ |
| 49.a2 | $-7$ | $-3375$ | $= -1 \cdot 3^{3} \cdot 5^{3}$ | $8.124$ | $(4:-9:1)$, $(4:9:1)$ |
Maps to other modular curves
$j$-invariant map of degree 36 from the Weierstrass model of this modular curve to the modular curve $X(1)$ :
| $\displaystyle j$ | $=$ | $\displaystyle -\frac{2^6}{3^6}\cdot\frac{36x^{2}y^{10}+32400x^{2}y^{8}z^{2}+367416x^{2}y^{6}z^{4}-25509168x^{2}y^{4}z^{6}+172186884x^{2}y^{2}z^{8}+576xy^{10}z+117936xy^{8}z^{3}-1364688xy^{6}z^{5}-25509168xy^{4}z^{7}+688747536xy^{2}z^{9}+y^{12}+5490y^{10}z^{2}+411723y^{8}z^{4}-5380020y^{6}z^{6}-106819641y^{4}z^{8}+1463588514y^{2}z^{10}-10460353203z^{12}}{z^{4}(24x^{2}y^{6}+3888x^{2}y^{4}z^{2}+17496x^{2}y^{2}z^{4}+240xy^{6}z+3888xy^{4}z^{3}+69984xy^{2}z^{5}+y^{8}+1356y^{6}z^{2}+19926y^{4}z^{4}+148716y^{2}z^{6}+531441z^{8})}$ |
Modular covers
Cover information
Click on a modular curve in the diagram to see information about it.
|
This modular curve minimally covers the modular curves listed below.
| Covered curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 12.18.0.l.1 | $12$ | $2$ | $2$ | $0$ | $0$ | full Jacobian |
This modular curve is minimally covered by the modular curves in the database listed below.
| Covering curve | Level | Index | Degree | Genus | Rank | Kernel decomposition |
|---|---|---|---|---|---|---|
| 12.72.2.e.1 | $12$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 12.72.2.j.1 | $12$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 12.72.2.k.1 | $12$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 12.72.2.p.1 | $12$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 12.72.3.dl.1 | $12$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 12.72.3.do.1 | $12$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 12.72.3.dv.1 | $12$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 12.72.3.ea.1 | $12$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 12.72.4.i.1 | $12$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 12.72.4.s.1 | $12$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 12.72.4.x.1 | $12$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 12.72.4.bb.1 | $12$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 24.72.2.bb.1 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2.bt.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.db.1 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.2.dx.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.fo.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.fq.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.fu.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.ga.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.ia.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.ic.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.iw.1 | $24$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 24.72.2.jc.1 | $24$ | $2$ | $2$ | $2$ | $1$ | $1$ |
| 24.72.3.xn.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.yf.1 | $24$ | $2$ | $2$ | $3$ | $2$ | $1^{2}$ |
| 24.72.3.zz.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.ban.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.72.3.bcy.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.bda.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.bek.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.beq.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.72.3.bfw.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.bfy.1 | $24$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 24.72.3.bhy.1 | $24$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 24.72.3.bie.1 | $24$ | $2$ | $2$ | $3$ | $2$ | $1^{2}$ |
| 24.72.4.da.1 | $24$ | $2$ | $2$ | $4$ | $2$ | $1^{3}$ |
| 24.72.4.eg.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.jz.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.kx.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.li.1 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 24.72.4.lo.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.no.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.nq.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.oc.1 | $24$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 24.72.4.oi.1 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 24.72.4.ps.1 | $24$ | $2$ | $2$ | $4$ | $2$ | $1^{3}$ |
| 24.72.4.pu.1 | $24$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 24.72.5.ey.1 | $24$ | $2$ | $2$ | $5$ | $0$ | $1^{4}$ |
| 24.72.5.fe.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.72.5.fy.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.72.5.ga.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.72.5.lc.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.72.5.li.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.72.5.lm.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 24.72.5.lo.1 | $24$ | $2$ | $2$ | $5$ | $1$ | $1^{4}$ |
| 36.108.6.be.1 | $36$ | $3$ | $3$ | $6$ | $2$ | $1^{5}$ |
| 36.324.20.g.1 | $36$ | $9$ | $9$ | $20$ | $10$ | $1^{9}\cdot2^{5}$ |
| 60.72.2.g.1 | $60$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 60.72.2.p.1 | $60$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 60.72.2.w.1 | $60$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 60.72.2.bf.1 | $60$ | $2$ | $2$ | $2$ | $0$ | $1$ |
| 60.72.3.bav.1 | $60$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 60.72.3.bbc.1 | $60$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 60.72.3.bbl.1 | $60$ | $2$ | $2$ | $3$ | $1$ | $1^{2}$ |
| 60.72.3.bbs.1 | $60$ | $2$ | $2$ | $3$ | $0$ | $1^{2}$ |
| 60.72.4.cm.1 | $60$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 60.72.4.cu.1 | $60$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 60.72.4.dc.1 | $60$ | $2$ | $2$ | $4$ | $0$ | $1^{3}$ |
| 60.72.4.dk.1 | $60$ | $2$ | $2$ | $4$ | $1$ | $1^{3}$ |
| 60.180.13.ny.1 | $60$ | $5$ | $5$ | $13$ | $7$ | $1^{12}$ |
| 60.216.13.rv.1 | $60$ | $6$ | $6$ | $13$ | $2$ | $1^{12}$ |
| 60.360.25.chm.1 | $60$ | $10$ | $10$ | $25$ | $14$ | $1^{24}$ |
| 84.72.2.g.1 | $84$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 84.72.2.p.1 | $84$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 84.72.2.w.1 | $84$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 84.72.2.bf.1 | $84$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 84.72.3.uz.1 | $84$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 84.72.3.vg.1 | $84$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 84.72.3.vp.1 | $84$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 84.72.3.vw.1 | $84$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 84.72.4.cf.1 | $84$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 84.72.4.cn.1 | $84$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 84.72.4.cv.1 | $84$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 84.72.4.dd.1 | $84$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 84.288.22.dc.1 | $84$ | $8$ | $8$ | $22$ | $?$ | not computed |
| 120.72.2.bt.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.db.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.gb.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.hj.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.pk.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.pm.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.pq.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.pw.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.ua.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.uc.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.uw.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.2.vc.1 | $120$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 120.72.3.gfz.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.ghd.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gkh.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gll.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gxa.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gxc.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gzs.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.gzy.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.hbq.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.hbs.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.hey.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.3.hfe.1 | $120$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 120.72.4.bah.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bcd.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bep.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bgl.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bms.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bmy.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bqe.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bqg.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bry.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.bse.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.buu.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.4.buw.1 | $120$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 120.72.5.bqa.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.bqg.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.bra.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.brc.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.bvg.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.bvm.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.bvq.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 120.72.5.bvs.1 | $120$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 132.72.2.g.1 | $132$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 132.72.2.p.1 | $132$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 132.72.2.w.1 | $132$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 132.72.2.bf.1 | $132$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 132.72.3.uz.1 | $132$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 132.72.3.vg.1 | $132$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 132.72.3.vp.1 | $132$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 132.72.3.vw.1 | $132$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 132.72.4.ck.1 | $132$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 132.72.4.cs.1 | $132$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 132.72.4.da.1 | $132$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 132.72.4.di.1 | $132$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 156.72.2.g.1 | $156$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 156.72.2.p.1 | $156$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 156.72.2.w.1 | $156$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 156.72.2.bf.1 | $156$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 156.72.3.uz.1 | $156$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 156.72.3.vg.1 | $156$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 156.72.3.vp.1 | $156$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 156.72.3.vw.1 | $156$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 156.72.4.cn.1 | $156$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 156.72.4.cv.1 | $156$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 156.72.4.dd.1 | $156$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 156.72.4.dl.1 | $156$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.2.bt.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.db.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.gb.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.hj.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.pk.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.pm.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.pq.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.pw.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.ua.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.uc.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.uw.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.2.vc.1 | $168$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 168.72.3.fnd.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.foh.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.frl.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.fsp.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.fzw.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.fzy.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gco.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gcu.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gem.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.geo.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.ghu.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.3.gia.1 | $168$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 168.72.4.zj.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bbf.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bdr.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bfn.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.blu.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bma.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bpg.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bpi.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bra.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.brg.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.btw.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.4.bty.1 | $168$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 168.72.5.bau.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bba.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bbu.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bbw.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bga.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bgg.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bgk.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 168.72.5.bgm.1 | $168$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 204.72.2.g.1 | $204$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 204.72.2.p.1 | $204$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 204.72.2.w.1 | $204$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 204.72.2.bf.1 | $204$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 204.72.3.uz.1 | $204$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 204.72.3.vg.1 | $204$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 204.72.3.vp.1 | $204$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 204.72.3.vw.1 | $204$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 204.72.4.cm.1 | $204$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 204.72.4.cu.1 | $204$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 204.72.4.dc.1 | $204$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 204.72.4.dk.1 | $204$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 228.72.2.g.1 | $228$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 228.72.2.p.1 | $228$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 228.72.2.w.1 | $228$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 228.72.2.bf.1 | $228$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 228.72.3.uz.1 | $228$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 228.72.3.vg.1 | $228$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 228.72.3.vp.1 | $228$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 228.72.3.vw.1 | $228$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 228.72.4.cf.1 | $228$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 228.72.4.cn.1 | $228$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 228.72.4.cv.1 | $228$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 228.72.4.dd.1 | $228$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.2.bt.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.db.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.gb.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.hj.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.pk.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.pm.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.pq.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.pw.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.ua.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.uc.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.uw.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.2.vc.1 | $264$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 264.72.3.fnd.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.foh.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.frl.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.fsp.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.fzw.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.fzy.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gco.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gcu.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gem.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.geo.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.ghu.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.3.gia.1 | $264$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 264.72.4.zr.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bbn.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bdz.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bfv.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bmc.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bmi.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bpo.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bpq.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bri.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bro.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bue.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.4.bug.1 | $264$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 264.72.5.bau.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bba.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bbu.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bbw.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bga.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bgg.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bgk.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 264.72.5.bgm.1 | $264$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 276.72.2.g.1 | $276$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 276.72.2.p.1 | $276$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 276.72.2.w.1 | $276$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 276.72.2.bf.1 | $276$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 276.72.3.uz.1 | $276$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 276.72.3.vg.1 | $276$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 276.72.3.vp.1 | $276$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 276.72.3.vw.1 | $276$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 276.72.4.ce.1 | $276$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 276.72.4.cm.1 | $276$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 276.72.4.cu.1 | $276$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 276.72.4.dc.1 | $276$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.2.bt.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.db.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.gb.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.hj.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.pk.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.pm.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.pq.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.pw.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.ua.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.uc.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.uw.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.2.vc.1 | $312$ | $2$ | $2$ | $2$ | $?$ | not computed |
| 312.72.3.fnd.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.foh.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.frl.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.fsp.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.fzw.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.fzy.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gco.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gcu.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gem.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.geo.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.ghu.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.3.gia.1 | $312$ | $2$ | $2$ | $3$ | $?$ | not computed |
| 312.72.4.bah.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bcd.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bep.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bgl.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bms.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bmy.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bqe.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bqg.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bry.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.bse.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.buu.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.4.buw.1 | $312$ | $2$ | $2$ | $4$ | $?$ | not computed |
| 312.72.5.bau.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bba.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bbu.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bbw.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bga.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bgg.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bgk.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |
| 312.72.5.bgm.1 | $312$ | $2$ | $2$ | $5$ | $?$ | not computed |